Exponential Stability of Difference Equations with Several Delays: Recursive Approach

1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, Canada

Received 8 January 2009; Revised 16 April 2009; Accepted 23 April 2009

Abstract

We obtain new explicit exponential stability results for difference equations with
several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations.